{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting a builtin waveform\n",
    "\n",
    "In the ``tools`` sub-package is a module called ``plot_source_wave`` which can be used to plot any of the builtin waveforms in time and frequency domains. The module takes the following arguments:\n",
    "\n",
    "* ``type`` is the type of the waveform, e.g. ricker\n",
    "* ``amp`` is the amplitude of the waveform\n",
    "* ``freq`` is the centre frequency of the waveform\n",
    "* ``timewindow`` is the time window used to view the waveform, i.e. the time window of the proposed simulation\n",
    "* ``dt`` is the time step used to view the waveform, i.e. the time step of the proposed simulation\n",
    "\n",
    "There is an optional argument:\n",
    "\n",
    "* ``-fft`` a switch to turn on the FFT plotting for a single field component or current\n",
    "\n",
    "For example (to use the module outside this notebook) to plot a Ricker waveform (and FFT) with an amplitude of 1, centre frequency of 1.5GHz and with a time window of 3ns and time step of 1.926ps:\n",
    "\n",
    "    python -m tools.plot_source_wave ricker 1 1.5e9 3e-9 1.926e-12 -fft"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can use the following code to experiment (in this notebook) with plotting different waveforms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Waveform characteristics...\n",
      "Type: ricker\n",
      "Maximum amplitude: 1\n",
      "Centre frequency: 2.5e+07 Hz\n",
      "Time to centre of pulse: 5.65685e-08 s\n",
      "Time window: 3e-07 s (3742 iterations)\n",
      "Time step: 8.019e-11 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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iPs6IT3TEyBnxQaqtWbNG69ev19KlS7V06VI9+uijFa/dcccdWrt2rVavXq2+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\n6aab1KJFC02fPj2uSSIA9va3I44ovhqQK+y/VNrb90LC1RiFEPFxRnx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VFi9OaDiKTmFG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\n0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d6576d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from gprMax.waveforms import Waveform\n",
    "from tools.plot_source_wave import check_timewindow, mpl_plot\n",
    "\n",
    "w = Waveform()\n",
    "w.type = 'ricker'\n",
    "w.amp = 1\n",
    "w.freq = 25e6\n",
    "timewindow = 300e-9\n",
    "dt = 8.019e-11\n",
    "\n",
    "timewindow, iterations = check_timewindow(timewindow, dt)\n",
    "plt = mpl_plot(w, timewindow, dt, iterations, fft=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting a user-defined waveform\n",
    "\n",
    "This notebook can be used to plot a user-defined waveform in time and frequency domains.\n",
    "\n",
    "You can use the following code to experiment (in this notebook) with plotting different waveforms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Waveform characteristics...\n",
      "Type: user\n",
      "Maximum amplitude: 69.9616\n",
      "Time window: 2e-09 s (425 iterations)\n",
      "Time step: 4.71731e-12 s\n",
      "Centre frequency: 2.99273e+09 Hz\n"
     ]
    },
    {
     "data": {
      "image/png": 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PXRnJ5+mnS3PmSH/7mzRokLev5QC2UbvIp33k1K50jvW+jmiSpD/84Q8aPHiw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\nCB4Zadxx7t/+Tera1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10641fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from gprMax.waveforms import Waveform\n",
    "from tools.plot_source_wave import check_timewindow, mpl_plot\n",
    "\n",
    "waveformvalues = np.loadtxt('/Users/cwarren/Desktop/sajad/SW_corrected.txt', skiprows=1, dtype=np.float32)\n",
    "\n",
    "w = Waveform()\n",
    "w.type = 'user'\n",
    "w.amp = 1\n",
    "w.freq = 0\n",
    "w.uservalues = waveformvalues[:]\n",
    "timewindow = 2e-9\n",
    "dt = 4.71731e-12\n",
    "\n",
    "timewindow, iterations = check_timewindow(timewindow, dt)\n",
    "w.uservalues = np.zeros(iterations, dtype=np.float32)\n",
    "w.uservalues[0:len(waveformvalues)] = waveformvalues[:]\n",
    "plt = mpl_plot(w, timewindow, dt, iterations, fft=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Determining a spatial resolution\n",
    "You can use the following code as a guide to determining a spatial resolution for a simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum wavelength: 0.416378 m\n",
      "Maximum spatial resolution: 0.0416378 m\n",
      "Time step for 3D cubic cell: 8.01875e-11 s\n",
      "Time step for 2D cubic cell: 9.82093e-11 s\n"
     ]
    }
   ],
   "source": [
    "from math import sqrt\n",
    "\n",
    "# Speed of light in vacuum (m/s)\n",
    "c = 299792458\n",
    "\n",
    "# Highest relative permittivity present in model\n",
    "er = 81\n",
    "\n",
    "# Maximum frequency present in model\n",
    "fmax = 80e6\n",
    "\n",
    "# Minimum wavelength\n",
    "wmin = c / (fmax * sqrt(er))\n",
    "\n",
    "# Maximum spatial resolution (allowing 10 cells per wavelength)\n",
    "dmin = wmin / 10\n",
    "\n",
    "# Time steps at CFL limits for cubic cells\n",
    "dt3D = dmin / (sqrt(3) * c)\n",
    "dt2D = dmin / (sqrt(2) * c)\n",
    "\n",
    "print('Minimum wavelength: {:g} m'.format(wmin))\n",
    "print('Maximum spatial resolution: {:g} m'.format(dmin))\n",
    "print('Time step for 3D cubic cell: {:g} s'.format(dt3D))\n",
    "print('Time step for 2D square cell: {:g} s'.format(dt2D))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
